Finding the Fourth Proportional to 2,293,944,741.31, 3,164,497,739.45 and 1,448,220,216.19
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Solution
The fourth proportional to 2,293,944,741.31, 3,164,497,739.45 and 1,448,220,216.19 is: 1,997,820,399.87
Step by Step Solution
- Step 1: Write the proportion equation
2,293,944,741.31 : 3,164,497,739.45 = 1,448,220,216.19 : x - Step 2: Convert to fraction form
2,293,944,741.31/3,164,497,739.45 = 1,448,220,216.19/x - Step 3: Cross multiply
2,293,944,741.31x = 3,164,497,739.45 × 1,448,220,216.19 - Step 4: Simplify right side
2,293,944,741.31x = 4,582,889,600,351,133,696 - Step 5: Solve for x
x = 4,582,889,600,351,133,696/2,293,944,741.31 - Step 6: Final answer
x = 1,997,820,399.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.